A:
Positive:
1 x 41434202341 x 1010590343 x 9635861197 x 21032591193 x 3473111763 x 2350218077 x 512998471 x 48913
Negative:
-1 x -414342023-41 x -10105903-43 x -9635861-197 x -2103259-1193 x -347311-1763 x -235021-8077 x -51299-8471 x -48913
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 414,342,023, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 414,342,023 | |
| -1 | -414,342,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,342,023.
Example:
1 x 414,342,023 = 414,342,023
and
-1 x -414,342,023 = 414,342,023
Notice both answers equal 414,342,023
With that explanation out of the way, let's continue. Next, we take the number 414,342,023 and divide it by 2:
414,342,023 ÷ 2 = 207,171,011.5
If the quotient is a whole number, then 2 and 207,171,011.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 414,342,023 | |
| -1 | -414,342,023 |
Now, we try dividing 414,342,023 by 3:
414,342,023 ÷ 3 = 138,114,007.6667
If the quotient is a whole number, then 3 and 138,114,007.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 414,342,023 | |
| -1 | -414,342,023 |
Let's try dividing by 4:
414,342,023 ÷ 4 = 103,585,505.75
If the quotient is a whole number, then 4 and 103,585,505.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 414,342,023 | |
| -1 | 414,342,023 |
If you did it right, you will end up with this table:
| 1 | 41 | 43 | 197 | 1,193 | 1,763 | 8,077 | 8,471 | 48,913 | 51,299 | 235,021 | 347,311 | 2,103,259 | 9,635,861 | 10,105,903 | 414,342,023 |
| -1 | -41 | -43 | -197 | -1,193 | -1,763 | -8,077 | -8,471 | -48,913 | -51,299 | -235,021 | -347,311 | -2,103,259 | -9,635,861 | -10,105,903 | -414,342,023 |
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